4y-1+y+47=8y+50-5y

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Solution for 4y-1+y+47=8y+50-5y equation: 


Simplifying
4y + -1 + y + 47 = 8y + 50 + -5y

Reorder the terms:
-1 + 47 + 4y + y = 8y + 50 + -5y

Combine like terms: -1 + 47 = 46
46 + 4y + y = 8y + 50 + -5y

Combine like terms: 4y + y = 5y
46 + 5y = 8y + 50 + -5y

Reorder the terms:
46 + 5y = 50 + 8y + -5y

Combine like terms: 8y + -5y = 3y
46 + 5y = 50 + 3y

Solving
46 + 5y = 50 + 3y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-3y' to each side of the equation.
46 + 5y + -3y = 50 + 3y + -3y

Combine like terms: 5y + -3y = 2y
46 + 2y = 50 + 3y + -3y

Combine like terms: 3y + -3y = 0
46 + 2y = 50 + 0
46 + 2y = 50

Add '-46' to each side of the equation.
46 + -46 + 2y = 50 + -46

Combine like terms: 46 + -46 = 0
0 + 2y = 50 + -46
2y = 50 + -46

Combine like terms: 50 + -46 = 4
2y = 4

Divide each side by '2'.
y = 2

Simplifying
y = 2

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